Greatest Common Factor of 743/88, 4704/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 743/88, 4704/983

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 743/88,4704/983

Given fractions are 743/88,4704/983

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 743,4704

Greatest Common Factor of Numerators i.e. GCF of 743,4704 is 1 .

LCM of Denominators means LCM of 88,983 as per the given fractions.

LCM of 88,983 is 86504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 743,4704

GCF of Fractions 743/88,4704/983 is 1/86504

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 743,4704 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,4704 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

Greatest Common Factor

We found the factors 743,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 743,4704 is 1.

Lets's calculate LCM of 88,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 86504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86504

Therefore, the GCF of Fractions 743/88,4704/983 is 1/86504

Least Common Multiple of 88,983 with GCF Formula

Least Common Multiple of 88,983 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,983) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(88,983) x common factors =1 x 1 = 1

LCM(88,983) = ( 88 × 983 ) / 1

LCM(88,983) = 86504 / 1

LCM(88,983) = 86504


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 743/88, 4704/983

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 743/88, 4704/983?

Answer: GCF of Numerators as per given numbers 743/88, 4704/983 is

GCF of Numerators i.e. for 743,4704 is 1

LCM of denominators i.e. for 88,983 is 86504.

Thus, GCF of Fractions is 1/86504.Finally, GCF of Fractions for 743/88, 4704/983 is 1/86504.